High-order hybridizable discontinuous Galerkin formulation for two-phase flow simulation

Nowadays, numerical simulation of oil reservoirs plays a major role in petroleum engineering. During the initial stages of hydrocarbon production (primary recovery), the pressure difference between the reservoir and the separator at the surface is high enough to move the hydrocarbons. Afterwards, as the pressure of the reservoir decreases, a fluid (usually water) is injected to maintain the flow rate. This is known as secondary recovery. If a single hydrocarbon is considered and the pressure is above its bubble point pressure, the two-phase immiscible flow model is widely used in industry.